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349732845 = 325721114419
BaseRepresentation
bin10100110110000…
…111111111101101
3220101002021021100
4110312013333231
51204012422340
654411553313
711444452200
oct2466077755
9811067240
10349732845
1116a462510
129915b839
13575c1717
143463b937
1520a84830
hex14d87fed

349732845 has 72 divisors (see below), whose sum is σ = 769335840. Its totient is φ = 145333440.

The previous prime is 349732841. The next prime is 349732847. The reversal of 349732845 is 548237943.

It is not a de Polignac number, because 349732845 - 22 = 349732841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 349732845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349732841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17046 + ... + 31464.

It is an arithmetic number, because the mean of its divisors is an integer number (10685220).

Almost surely, 2349732845 is an apocalyptic number.

349732845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349732845 is an abundant number, since it is smaller than the sum of its proper divisors (419602995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349732845 is a wasteful number, since it uses less digits than its factorization.

349732845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14445 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 349732845 is about 18701.1455531473. The cubic root of 349732845 is about 704.5505207948.

The spelling of 349732845 in words is "three hundred forty-nine million, seven hundred thirty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 14419 24255 43257 72095 100933 129771 158609 216285 302799 475827 504665 648855 706531 793045 908397 1110263 1427481 1513995 2119593 2379135 3330789 3532655 4541985 5551315 6358779 7137405 7771841 9992367 10597965 16653945 23315523 31793895 38859205 49961835 69946569 116577615 349732845